What is the Least Common Multiple of 83274 and 83291?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 83274 and 83291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83274 and 83291, than apply into the LCM equation.

GCF(83274,83291) = 1
LCM(83274,83291) = ( 83274 × 83291) / 1
LCM(83274,83291) = 6935974734 / 1
LCM(83274,83291) = 6935974734

Least Common Multiple (LCM) of 83274 and 83291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83274 and 83291. First we will calculate the prime factors of 83274 and 83291.

Prime Factorization of 83274

Prime Factorization of 83291

Now multiplying the highest exponent prime factors to calculate the LCM of 83274 and 83291.

LCM(83274,83291) = 2¹ × 3¹ × 13879¹ × 13¹ × 43¹ × 149¹
LCM(83274,83291) = 6935974734